(Answered) Question many firms utilize sampling plans to control the

Statistics

Question: Many firms utilize sampling plans to control the quality of manufactured items ready for shipment. To illustrate the use of a sampling plan, suppose that a particular company produces and ships electronic computer chips in lots, each lot consisting of 1000 chips. This company's sampling plan specifies that quality control personnel should randomly sample 50 chips from each lot and accept the lot for shipping if the number of defective chips is four or fewer. The lot will be rejected if the number of defective chips is five or more.

a. Find the probability of accepting a lot as a function of the actual fraction of defective chips. In particular, let the actual fraction of defective chips in a given lot equal any of 0.02, 0.04, 0.06, 0.08, 0.10, 0.12, 0.14, 0.16, 0.18. Then compute the lot acceptance probability for each of these lot defective fractions.

b. Construct a graph showing the probability of lot acceptance for each of the lot defective fractions, and interpret your graph.

c. Repeat parts a and b under a revised sampling plan that calls for accepting a given lot if the number of defective chips found in the random sample of 50 chips is five or fewer. Summarize any notable differences between the two graphs.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92450054
Price:- $15

Verified Expert

Priced at $30 Now at $15, Verified Solution

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

In families with four children youre interested in the

In families with four children, you're interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-col ...

The national safety council reported that 52 of american

The National safety council reported that 52% of American turnpike drivers are men. A sample of 300 cars traveling southbound on the New Jersey Turnpike yesterday revealed that 170 were driven by men. At a 99% level of c ...

From a random sample of 41 teens it is found that on

From a random sample of 41 teens, it is found that on average they spend 31.8 hours each week online with a standard deviation of 3.65 hours. What is the 90% confidence interval for the amount of time they spend online e ...

A lot contains 15 items and 6 are defective if two items

A lot contains 15 items and 6 are defective. If two items are drawn at random from the lot, without replacement, what is the probability there is exactly one non-defective? (Hint: You have to use both Multiplication and ...

Transaction costsnbspnbspin late december you decide for

Transaction costs In late December you decide, for tax purposes, to sell a losing position that you hold in Twitter, which is listed on the NYSE, so that you can capture the loss and use it to offset some capital gains, ...

In a sample of 12 kids their mean time on the internet on

In a sample of 12 kids, their mean time on the internet on the phone was 3.9 hours with a standard deviation of 0.7 hours. Which distribution would be most appropriate to use?

Income can have significant effects on peoples spending

Income can have significant effects on people's spending patterns. Research studies have revealed that consumer expenditure is influenced by various factors such as their income, gender, age and level of education. In or ...

If sailsboro just paid a dividend of 2 per share amp

If Sailsboro just paid a dividend of $2 per share & dividends are expected to grow at 8%, 6%, and 5% for the next three years respectively. After that the dividends are expected to grow at a constant rate of 3% indefinit ...

A quiz consists of 70 multiple choice questions each with

A quiz consists of 70 multiple choice? questions, each with five possible? answers, only one of which is correct. If a student guesses on each? question, what is the mean and standard deviation of the number of correct? ...

Hospital waiting room times are normally distributed with a

Hospital waiting room times are normally distributed with a mean of 38.12 minutes and a standard deviation of 8.63 minutes. What is the shortest wait time that would still be in the worst 20% of wait times?

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert